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120210000121 = 10124119972473
BaseRepresentation
bin110111111110100010…
…0110000100011111001
3102111021122022201111201
41233331010300203321
53432142230000441
6131120153254201
711453626066441
oct1577504604371
9374248281451
10120210000121
1146a87458342
121b36a104361
13b4498632b3
145b651ad121
1531d8637c31
hex1bfd1308f9

120210000121 has 16 divisors (see below), whose sum is σ = 122014295568. Its totient is φ = 118418688000.

The previous prime is 120210000101. The next prime is 120210000161. The reversal of 120210000121 is 121000012021.

It can be written as a sum of positive squares in 8 ways, for example, as 6783169600 + 113426830521 = 82360^2 + 336789^2 .

It is a cyclic number.

It is not a de Polignac number, because 120210000121 - 217 = 120209869049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120210000098 and 120210000107.

It is not an unprimeable number, because it can be changed into a prime (120210000101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48607741 + ... + 48610213.

It is an arithmetic number, because the mean of its divisors is an integer number (7625893473).

Almost surely, 2120210000121 is an apocalyptic number.

It is an amenable number.

120210000121 is a deficient number, since it is larger than the sum of its proper divisors (1804295447).

120210000121 is a wasteful number, since it uses less digits than its factorization.

120210000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120210000121 its reverse (121000012021), we get a palindrome (241210012142).

The spelling of 120210000121 in words is "one hundred twenty billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 101 241 1997 2473 24341 201697 249773 481277 595993 4938581 48608977 60195293 498796681 1190198021 120210000121